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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Laws of indices with three different bases in one line"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Teach me changing the base of a logarithm

Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and

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Worked example: sum to infinity of a geometric series

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf

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Explain differentiation back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to differentiate a pol

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Teach me dividing complex numbers by rationalising with the conjugate

You are my SS2 Further Mathematics tutor. Teach me dividing complex numbers by rationalisi

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Give me common mistakes students make in differentiation

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Give me common mistakes students make in logarithms and indices

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Give me common mistakes students make in measures of dispersion

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: find the equation of the line through (2,3) and (5,9)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the modulus and argument of 3+4i

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

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Worked example: find the determinant of [[5,2],[3,4]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find the inverse of [[2,1],[5,3]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find the magnitude of the vector (3,4)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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